5r^2+3=16

Solution for 5r^2+3=16 equation:

Simplifying
5r2 + 3 = 16

Reorder the terms:
3 + 5r2 = 16

Solving
3 + 5r2 = 16

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 5r2 = 16 + -3

Combine like terms: 3 + -3 = 0
0 + 5r2 = 16 + -3
5r2 = 16 + -3

Combine like terms: 16 + -3 = 13
5r2 = 13

Divide each side by '5'.
r2 = 2.6

Simplifying
r2 = 2.6

Take the square root of each side:
r = {-1.61245155, 1.61245155}